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Finding the Fourth Proportional to 14,207.54, 19,606.79 and 7,834.52

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Solution

The fourth proportional to 14,207.54, 19,606.79 and 7,834.52 is: 10,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,207.54 : 19,606.79 = 7,834.52 : x
  2. Step 2: Convert to fraction form
    14,207.54/19,606.79 = 7,834.52/x
  3. Step 3: Cross multiply
    14,207.54x = 19,606.79 × 7,834.52
  4. Step 4: Simplify right side
    14,207.54x = 153,609,856.99
  5. Step 5: Solve for x
    x = 153,609,856.99/14,207.54
  6. Step 6: Final answer
    x = 10,811.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.